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Finding the Fourth Proportional to 571.29, 852.47 and 497.49

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Solution

The fourth proportional to 571.29, 852.47 and 497.49 is: 742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.29 : 852.47 = 497.49 : x
  2. Step 2: Convert to fraction form
    571.29/852.47 = 497.49/x
  3. Step 3: Cross multiply
    571.29x = 852.47 × 497.49
  4. Step 4: Simplify right side
    571.29x = 424,092.81
  5. Step 5: Solve for x
    x = 424,092.81/571.29
  6. Step 6: Final answer
    x = 742.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.